An overview of MULTIMOORA for multi-criteria decision-making: Theory, developments, applications, and challenges

Abstract

MULTIMOORA is a useful multi-criteria decision-making technique. The output of the MULTIMOORA is a ranking obtained by aggregating the results of the ternary ranking methods: Ratio System, Reference Point Approach, and Full Multiplicative Form. In the literature of MULTIMOORA, there is not a comprehensive review study. In this paper, we conduct an overview of MULTIMOORA by categorizing and analyzing main researches, theoretically and practically. First, we go through an theoretical survey of MULTIMOORA in terms of the subordinate ranking methods, ranking aggregation tools, weighting methods, group decision-making, combination with other models, and the robustness of the method. We scrutinize the developments of MULTIMOORA based on uncertainty theories accompanied by analyzing the mathematical formulations of breakthrough models. Practical problems of MULTIMOORA are categorized into application sectors concerning industries, economics, civil services and environmental policy-making, healthcare management, and information and communications technologies. Bibliometric analyses are implemented into all studies. Also, we pose major theoretical and practical challenges. From the theoretical viewpoint, extensions of Reference Point Approach, cooperative group decision-making structure, and utilization of new uncertainty sets in MULTIMOORA model are the main challenges. From the practical viewpoint, industrial and socio-economic fields are appealing to be studied intensively.

Some Novel Interactive Hybrid Weighted Aggregation Operators with Pythagorean Fuzzy Numbers and Their Applications to Decision Making

“…In future research work, we can expand the explored operators to neutrosophic set [42][43][44], q-rung orthopair fuzzy set [45][46][47] and other uncertain environments [48][49][50][51][52][53][54][55][56].…”

Internal Combustion Engine Analysis of Energy Ecological Parameters by Neutrosophic MULTIMOORA and SWARA Methods

“…The single-valued neutrosophic set models the initial information representation and provides the algebraic basis of the operations, and the traditional crisp MULTIMOORA approach introduced in Reference [79] offers the theoretical framework for the ranking of the alternatives. The traditional crisp MULTIMOORA method, which initially was proposed by one of the authors, was quite intensively applied to solve various problems, and this approach underwent different extensions [64,80]. This new proposed approach, namely multi-objective optimization by a ratio analysis plus the full multiplicative form single-valued neutrosophic set (MULTIMOORA-SVNS), was applied to perform internal combustion engine analysis of energy ecological parameters.…”

“…During the last few decades, little research on mixtures comprising biodiesel and nitromethane was performed.Experimental research with various fuels with different engine load and variable start of fuel injection parameters yields data concerning different areas. To manage this information, we applied the promising neutrosophic MULTIMOORA method [64]. The new set of options with minimizing and maximizing criteria is presented in Table 1.…”

MCDM, operational research and sustainable development in the trans-border Lithuanian–German– Polish co-operation

“…In recent years, several authors published papers about the application of the methods developed by Prof. Zavadskas for the solution of various problems. The authors analysed the methods and the areas of their application: SWARA and WASPAS (Mardani et al, 2017a), various aspects of using the utility function (Mardani et al, 2018a), COPRAS (Stefano et al, 2015) and MULTIMOORA (Balezentis & Balezentis 2014;Hafezalkotob et al, 2019).…”